Physics
Scientific paper
Apr 2008
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008jsrs.meet..113e&link_type=abstract
"Proceedings of the "Journées Systèmes de Référence Spatio-temporels 2007". Observatoire de Paris, 17-19 September 2007. Editor:
Physics
Scientific paper
We derive analytical expressions for the geopotential of a three-layer Earth model com- posed by a triaxial rigid mantle, a triaxial fluid outer core and a triaxial rigid inner core, extending previous works performed on the basis of an axial-symmetric three-layer Earth model (Greiner-Mai et al. 2000, 2001). In order to consider these expressions within the framework of the Hamiltonian theory of the rotation of the non-rigid Earth, we work out the problem in terms of a set of canonical variables arising from associating an Andoyer-like variables to each layer of the Earth, in the same way as it is described in Escapa et al.(2001). With the help of Wigner theorem (Kinoshita et al. 1974), we obtain the development of the geopotential of this Earth model in a mantle attached reference frame. Finally, we analyze the dependence of each geopotential coefficient of the second degree on the triaxiality and figure axis of the rigid inner core.
Escapa Alberto
Ferrándiz José Manuel
Getino Juan
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